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144593104516 = 227215721732
BaseRepresentation
bin1000011010101001101…
…0111010111010000100
3111211012221102202122021
42012222122322322010
54332111313321031
6150231500012524
713306103052400
oct2065232727204
9454187382567
10144593104516
115635a046593
1224033b31144
1310834336813
146dd9652100
153b640a1511
hex21aa6bae84

144593104516 has 81 divisors (see below), whose sum is σ = 297959283279. Its totient is φ = 61217851968.

The previous prime is 144593104463. The next prime is 144593104517. The reversal of 144593104516 is 615401395441.

The square root of 144593104516 is 380254.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10050864516 + 134542240000 = 100254^2 + 366800^2 .

It is not an unprimeable number, because it can be changed into a prime (144593104517) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 835798206 + ... + 835798378.

Almost surely, 2144593104516 is an apocalyptic number.

144593104516 is the 380254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144593104516

144593104516 is an abundant number, since it is smaller than the sum of its proper divisors (153366178763).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144593104516 is an equidigital number, since it uses as much as digits as its factorization.

144593104516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

Adding to 144593104516 its reverse (615401395441), we get a palindrome (759994499957).

The spelling of 144593104516 in words is "one hundred forty-four billion, five hundred ninety-three million, one hundred four thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 49 98 157 173 196 314 346 628 692 1099 1211 2198 2422 4396 4844 7693 8477 15386 16954 24649 27161 29929 30772 33908 49298 54322 59858 98596 108644 119716 172543 190127 209503 345086 380254 419006 690172 760508 838012 1207801 1330889 1466521 2415602 2661778 2933042 4264277 4698853 4831204 5323556 5866084 8528554 9397706 17057108 18795412 29849939 32891971 59699878 65783942 119399756 131567884 208949573 230243797 417899146 460487594 737719921 835798292 920975188 1475439842 2950879684 5164039447 10328078894 20656157788 36148276129 72296552258 144593104516